The only notable low-harmonic-entropy scale for this MOS pattern is slendric or gamelismic, in which the generator is 8/7 and three of them make a 3/2. Other scales include very improper (incomplete) versions of porcupine, negri, etc.
Generator
Generator (s)
L-s
|L-2s|
Comments
0\1
1\10
120
600
480
2\19
126.32
568.42
442.11
Negri is around here
1\9
133.33
533.33
400
1\8
150
450
300
L/s = 4
2\15
160
400
240
3\22
163.64
381.82
218.18
Porcupine is around here
1200/(4+pi)
359.85
191.82
1\7
171.43
342.86
171.43
L/s = 3
1200/(4+e)
306.915
128.3
3\20
180
300
120
1200/(5+phi)
293.386
112.064
2\13
184.615
276.92
92.31
1\6
200
200
0
Boundary of propriety (generators
larger than this are strictly proper)
larger than this are strictly proper)